布尔函数的线性结构的特征
CHARACTER OF LINEAR STRUCTURES OF BOOLEAN FUNCTIONS
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摘要: 本文首先利用布尔函数的特征集合对布尔函数的线性结构进行了刻划,给出了寻找布尔函数的线性结构的一种方法。其次引入了布尔函数的r型线性结构的概念,并对其进行了研究,同时还指出了布尔函数的r型线性结构的密码学意义。
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关键词:
- 布尔函数; 线性结构; 特征集合
Abstract: The linear structures of Boolean functions are discussed using characteristic set of Boolean functions, and a way to find linear structures of Boolean functions is given. Then, the linear structures of Boolean functions are generalized, and r-type linear structures of Boolean functions are presented and studied, meanwhile the cryptological significance of r-type linear structures of Boolean functions is described. -
Nyberg K. 0n the construction of highly nonlinear permutations. Advances in Cryptology, Proc. Eourocrypto'92. Springer-Verlag.1993, 92-98.[2]Nyberg K.[J].Knudsen L K. Provable Security against Differential Cryptanalysis. Advauces in Cryptology, Proc. ,Eurocrypto92, Springer-Verlag.1993,:- -
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